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Finding the Fourth Proportional to 232,356.81, 320,856.87 and 145,291.13

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Solution

The fourth proportional to 232,356.81, 320,856.87 and 145,291.13 is: 200,629.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,356.81 : 320,856.87 = 145,291.13 : x
  2. Step 2: Convert to fraction form
    232,356.81/320,856.87 = 145,291.13/x
  3. Step 3: Cross multiply
    232,356.81x = 320,856.87 × 145,291.13
  4. Step 4: Simplify right side
    232,356.81x = 46,617,657,354.33
  5. Step 5: Solve for x
    x = 46,617,657,354.33/232,356.81
  6. Step 6: Final answer
    x = 200,629.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.